Q: What is the total or count of factors of the number 203,323,652?

 A: 24

How do I find the total factors of the number 203,323,652?

Step 1

Find the prime factorization of the number 203,323,652.

Use a factor tree to assist with solving. Take a look at our prime factorization page for additional help.

Factor Tree
203,323,652
Factor Arrows
2101,661,826
Factor Arrows
250,830,913
Factor Arrows
77,261,559
Factor Arrows
1,5974,547

The prime factorization in exponential form is: 22 x 71 x 1,5971 x 4,5471

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 1)(d + 1)

Where d(n) is equal to the number of divisors of the number and a, b, etc. are equal to the exponents of the prime factorization.

Now substitute the letters in the equation with the the exponents of your prime factorization and then solve to calculate the total number of divisors.

203,323,652 = 22 x 71 x 1,5971 x 4,5471
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(203323652) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
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d(203323652) = (3)(2)(2)(2)
Down Arrow
d(203323652) = 24

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Take a look at the factors page to see the factors of 203,323,652 and how to find them.

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